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Finding the Fourth Proportional to 235,681.76, 353,578 and 77,910.20

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Solution

The fourth proportional to 235,681.76, 353,578 and 77,910.20 is: 116,883.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,681.76 : 353,578 = 77,910.20 : x
  2. Step 2: Convert to fraction form
    235,681.76/353,578 = 77,910.20/x
  3. Step 3: Cross multiply
    235,681.76x = 353,578 × 77,910.20
  4. Step 4: Simplify right side
    235,681.76x = 27,547,332,695.60
  5. Step 5: Solve for x
    x = 27,547,332,695.60/235,681.76
  6. Step 6: Final answer
    x = 116,883.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.